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12166712604 = 22328912792969
BaseRepresentation
bin10110101010011000…
…10100110100011100
31011101220211001001100
423111030110310130
5144404134300404
65331142513100
7610334231214
oct132514246434
934356731040
1012166712604
115183879292
122436735790
1311bb865737
14835c17244
154b3201d39
hex2d5314d1c

12166712604 has 72 divisors (see below), whose sum is σ = 31135104000. Its totient is φ = 4005517824.

The previous prime is 12166712581. The next prime is 12166712629. The reversal of 12166712604 is 40621766121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096432 + ... + 4099400.

It is an arithmetic number, because the mean of its divisors is an integer number (432432000).

Almost surely, 212166712604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166712604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552000).

12166712604 is an abundant number, since it is smaller than the sum of its proper divisors (18968391396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12166712604 is a wasteful number, since it uses less digits than its factorization.

12166712604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12166712604 in words is "twelve billion, one hundred sixty-six million, seven hundred twelve thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1279 1602 2558 2969 3204 3837 5116 5938 7674 8907 11511 11876 15348 17814 23022 26721 35628 46044 53442 106884 113831 227662 264241 341493 455324 528482 682986 792723 1024479 1056964 1365972 1585446 2048958 2378169 3170892 3797351 4097916 4756338 7594702 9512676 11392053 15189404 22784106 34176159 45568212 68352318 136704636 337964239 675928478 1013892717 1351856956 2027785434 3041678151 4055570868 6083356302 12166712604